Katriel, Jacob

On a generalized recurrence for Bell numbers

J. Integer Seq. 11(3), Article ID 08.3.8, 4 p., electronic only (2008)

Summary

Summary: A novel recurrence relation for the Bell numbers was recently derived by Spivey, using a beautiful combinatorial argument. An algebraic derivation is proposed that allows straightforward $q$-deformation.

Mathematics Subject Classification

11B73, 05A19, 05A30, 05A40

Keywords/Phrases

q-Bell numbers, q-Stirling numbers, umbral calculus

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